Elastic electron scattering experiments on Be and C at 53 MeV and their analysis using an improved phase-shift method

Abstract

Cross sections for elastic electron scattering from beryllium were measured relative to carbon at the Darmstadt electron linear accelerator. The experimental data were analysed with an improved phase-shift method which is described in detail. Using a recently obtained rms radius R m(C) = 2.42±0.04fm for carbon (natural isotopic mixture), the beryllium rms radius is R m(Be) = 2.46±0.09 fm, and R m(Be) inm(C) = 1.015±0.024. Using these results, a new analysis of a recent experiment yields R m(Ti) = 3.56±0.04 fm for titanium (natural isotopic mixture). This radius is compared to that deduced from the muonic 2p-1s energy.